### Home > INT3 > Chapter Ch11 > Lesson 11.2.2 > Problem 11-68

For each of the following equations, list every point where its

*three-dimensional*graph intersects one of the coordinate axes. That is, what are the*x‑*,*y‑*, and*z*‑intercepts? Express your answers in (*x*,*y*,*z*) form. 11-68 HW eTool (CPM). Homework Help ✎6

*y*+ 15*z*= 603

*x*+ 4*y*+ 2*z*= 24(

*x*+ 3)^{2}+*z*^{2}= 25*z*= 6

To find the intercept of a given axis, set all other variables to zero.

For example, the *y*-intercept will be (0, ?, 0).

To find the *y*-intercept, let *x* = 0 and *z* = 0

Repeat the process to find the *z*-intercept. (0, 0, ?).

(0, 10, 0) and (0, 0, 4)

See part (a):

See part (a).

Note: You will have two *x*-intercepts and two *z*-intercepts. Why?

See part (a):

Use the eTool below to test your solutions to parts (a), (b) and (c) above.

Click on the link at right for the full eTool version: INT3 11-68 HW eTool